GCD of 984, 654, 683, 667 Calculator

Given Input numbers are 984, 654, 683, 667

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Greatest Common Divisior

We found the divisors of 984, 654, 683, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 654, 683, 667 is 1.

Therefore, GCD of numbers 984, 654, 683, 667 is 1

Given Input Data is 984, 654, 683, 667

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 683 is 683

Prime Factorization of 667 is 23 x 29

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(984, 654) = 107256

GCD(984, 654) = ( 984 x 654 ) / 107256

GCD(984, 654) = 643536 / 107256

GCD(984, 654) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 683

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(6, 683) = 4098

GCD(6, 683) = ( 6 x 683 ) / 4098

GCD(6, 683) = 4098 / 4098

GCD(6, 683) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 667

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 667) = 667

GCD(1, 667) = ( 1 x 667 ) / 667

GCD(1, 667) = 667 / 667

GCD(1, 667) = 1

GCD of 984, 654, 683, 667 is 1

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• GCD of 426, 656, 768, 797
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• GCD of 502, 309, 754, 173

1. What is the GCD of 984, 654, 683, 667?

GCD of 984, 654, 683, 667 is 1

2. Where do I get the detailed procedure to find GCD of 984, 654, 683, 667?

You can find a detailed procedure to find GCD of 984, 654, 683, 667 on our page.

3. How to find GCD of 984, 654, 683, 667 on a calculator?

You can find the GCD of 984, 654, 683, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.